Join the shortest queue among $k$ parallel queues: tail asymptotics of its stationary distribution

Masahiro Kobayashi, Yutaka Sakuma, Masakiyo Miyazawa

We are concerned with an $M/M$-type join the shortest queue ($M/M$-JSQ for short) with $k$ parallel queues for an arbitrary positive integer $k$, where the servers may be heterogen…